Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term

Details Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term

2009-12-18

arxiv.org/abs/0912.3642v1

Eur. Phys. J.C67:575, 2010

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 4 figures

Scientific paper

10.1140/epjc/s10052-010-1295-5

Motivated by the success of the non-commutative scalar Grosse-Wulkenhaar model, a non-commutative U(1) gauge field theory including an oscillator-like term in the action has been put forward in arXiv:0705.4205. The aim of the current work is to analyze whether that action can lead to a fully renormalizable gauge model on non-commutative Euclidean space. In a first step, explicit one-loop graph computations are hence presented, and their results as well as necessary modifications of the action are successively discussed.

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